Question

Simplify and express the following in exponential form:
$\frac{3\times 7^2\times {11}^8}{21\times 11}$

Answer 1

$\frac{3\times 7^2\times {11}^8}{21\times 11}=\frac{3\times 7^2\times {11}^8}{3\times 7\times 11}=3^{1-1}\times 7^{2-1}\times {11}^{8-3}$
$=3^0\times 7^1\times {11}^5=7\times {11}^5$
$[\because a^m÷a^v=a^{m-v}]$